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Finding the Third Proportional to 37,968,728 and 78,629,176

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Solution

The third proportional to 37,968,728 and 78,629,176 is: 162,832,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,968,728 : 78,629,176 = 78,629,176 : x
  2. Step 2: Convert to fraction form
    37,968,728/78,629,176 = 78,629,176/x
  3. Step 3: Cross multiply
    37,968,728x = 78,629,176 × 78,629,176
  4. Step 4: Simplify right side
    37,968,728x = 6,182,547,318,438,976
  5. Step 5: Solve for x
    x = 6,182,547,318,438,976/37,968,728
  6. Step 6: Final answer
    x = 162,832,616.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.